准周期[110]对称倾斜FCC晶界
Quasiperiodic [110] Symmetric Tilt FCC Grain Boundaries
AI总结：
本文利用Landau-Brazovskii模型研究[110]对称倾斜FCC晶界，发现准周期晶界遵循广义Fibonacci替换规则，揭示了其向周期晶界转变的机制，并提出精确计算任意倾斜角晶界能量的方法。
摘要：
在这项工作中，我们利用基于Landau-Brazovskii模型的准周期界面新方法，研究了[110]对称倾斜FCC晶界（GBs）。在与二次代数数相关的特殊倾斜角上，准周期GBs表现出广义Fibonacci替换规则。通过球体偏移和谱聚变，探索了从准周期GBs到周期GBs的转变机制。我们还提出了一种计算任意倾斜角GB能量的精确方法，并分析了影响GB能量的因素。结果表明，除周期GBs外，GB能量随倾斜角连续变化。
英文摘要：
In this work, we investigate [110] symmetric tilt FCC grain boundaries (GBs) by a recently developed approach for quasiperiodic interfaces using the Landau-Brazovskii model. On special tilt angles associated with quadratic algebraic numbers, quasiperiodic GBs exhibit generalized Fibonacci substitution rules. The transition mechanism from quasiperiodic GBs to periodic GBs is explored through sphere offsets and spectral coalescence. We also propose an accurate method to calculate the GB energy for arbitrary tilt angle and analyze the factors affecting the GB energy. The revealing GB energy change is continue along with tilt angle except periodic GBs.
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